Determine whether each statement regarding surface area is true, Select True or False for each


statement



1. The surface area of a cone is the sum of the areas of a circle and sector of a circle.



2. The surface area of a sphere is greater than a cube's with s=r.



3. A composite figure's surface area is the sum of each individual figure's surface area.

10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.

Given that,

The measurements are depicted in a segment of a circular design on the drawing.

We have to find what length is the circle's radius.

We know that,

Let us take the up line as AB and the perpendicular line is OP.

So,

In ΔOPB

∠P=90°

PB=5cm

OP is perpendicular to AB.

Sin30° = PB/OB

1/2=5/OB

OB=5×2

OB=10

Therefore, 10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.

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Answer:

C. Circle X, circle Z, circle Y

Step-by-step explanation:

X has the largest area; followed by Z and then Y

The given integral is ∫8x² ln(x) dx.  The value of the integral is ∫8x² ln(x) dx = ln(x) [(8/3)x³ + C] - (8/9)x³ + C.

Let us use integration by parts, with u = ln(x) and dv = 8x² dx.

Then, we have du/dx = 1/x and

v = ∫8x^2 dx

= (8/3)x³ + C.

Using the integration by parts formula ∫u dv = uv - ∫v du, we get:

∫8x² ln(x) dx = u v - ∫v du

= ln(x) [(8/3)x³ + C] - ∫(8/3)x³ (1/x) dx

= ln(x) [(8/3)x³ + C] - (8/9)x³ + C

Therefore, the value of the integral is

Note that the constant of integration appears twice, as is typical for integration by parts. We can simplify the result by combining the constants, but we will leave it in this form for now.

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Answer:

Step-by-step explanation:

its negative 3

Answer:

A constant rate of flow, that would be 40/18 = 2.2 gallon per minute

Hope this helps!

:)

Answer:

(1, 2 )

Step-by-step explanation:

Given the 2 equations

- 2x - y = - 4 → (1)

x + 2y = 5 → (2)

Multiplying (2) by 2 and adding result to (1) will eliminate x- term

2x + 4y = 10 → (3)

Add (1) and (3) term by term to eliminate x

0 + 3y = 6

3y = 6 ( divide both sides by 3 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for x

Substituting into (2)

x + 2(2) = 5

x + 4 = 5 ( subtract 4 from both sides )

x = 1

solution is (1, 2 )

Answer:

Ok, tenemos que el cheque es de 16_41.

Y también sabemos que podemos dividir este numero entre 13 personas, de acá podemos concluir que este numero es un múltiplo de 13.

Sea el dígito faltan igual a x

Sabemos que un numero es divisible por 13 cuando la suma de los productos de las  unidades, decenas, centenas,...  De dicho número  por los dígitos contenidos en la lista {1, –3, –4, –1, 3, 4 } (en ese orden) es  0  o múltiplo de 13.

Entonces, tenemos:

16x41:

1*1 + 4*(-3) + x*-4 + 6*-1 + 1*3 = 1 - 12 -4x - 6 + 3

=-14 - 4*x  

entonces, -14 - 4*x tiene que ser igual a 0, 13 o algún múltiplo de 13.

Como ambos términos son negativos, no podemos tener esta igualdad igual a 0 o a 13, entonces apuntamos por el siguiente múltiplo de 13 después de -13 (es decir, 13*-2 = -26)

-26 = -14 - 4*x

-26 + 14 = -4*x

-12 = -4*x

-12/-4 = 3 = x

Entonces nuestro dígito es igual a 3, y nuestro numero es:

16341.

Ahora podemos probar:

16241/13 = 1257

Es decir, cada miembro recibe 1257.

Therefore , the solution of the given problem of volume comes out to be the response is 900 cubic units.

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. These symbols for cubic dimensions are liter and in3. However, understanding an object's volume is necessary to calculate its measurements. It is standard practice to convert the weight of an object into mass units like grams and kilograms.

Here,

The formula V = Bh, when B is the area of the bottom and h is the height of the prism, determines the volume of a right triangle prism.

The prism has an area of because its foundation is a right triangle with 8 and 15-foot-long legs.

=> B = (1/2)bh = (1/2)(8)(15) = 60

The prism's height is specified as 15 inches.

As a result, the prism's capacity is:

=>  900 cubic units are equal to V = Bh = 60(15).

Therefore, the response is 900 cubic units.

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Answer:

900 cubic units

Step-by-step explanation:

102 degrees

Step-by-step explanation:

Angles in a quadrilateral add to 360 degrees.

y = 360 - (120 + 85 + 53)

y = 360 - 258

y = 102 degrees

Answer:

A. 17

Step-by-step explanation:

The angles are adjacent, meaning they are congruent. So you will set (5x + 6) equal to 91

(5x + 6) = 5x + 6

5x + 6 = 91

5x + 6 - 6 = 91 - 6

5x = 85

5x / 5 = 85 / 5

x = 17

Answer:

The solution to the given inequality is a > 8.

Step-by-step explanation:

For this problem, we have to solve for the inequality.

9a - 24 > 48

add 24 on both sides of the inequality.

9a > 72

Divide 9 on both sides of the inequality.

a > 8

So, your solution would be a > 8.

Answer:

a > 8

Step-by-step explanation:

To solve this inequality, we have to get the variable, a, by itself on one side of the equation

\(9a -24 > 48\)

24 is being subtracted from 9a. The inverse of subtraction is addition. Add 24 to both sides of the equation.

\(9a-24+24 > 48+24\)

\(9a > 48 +24\)

\(9a > 72\)

a is being multiplied by 9. The inverse of multiplication is division. Divide both sides of the equation by 9.

\(9a/9 > 72/9\)

\(a > 72/9\)

\(a > 8\)

The solution to this inequality is a > 8

The maximized value of the function is (c) 119/2

Maximization problems are used to determine the optimal solution of a linear programming model

The objective function is given as:

\(P(x,y) = 11x + 10y\)

The constraints are given as:

\(22x + 2y \le 68\)

\(8x + 16y \le 68\)

\(x,y\ge 0\)

See attachment for the graph of the constraints

From the graph, the optimal solution is: (2.83, 2.83)

So, the maximized value is:

\(P(x,y) = 11x + 10y\)

\(P =11 \times 2.833 + 10 \times 2.833\)

\(P =59.493\)

Approximate

\(P =59.5\)

Rewrite as a fraction

\(P =\frac{119}{2}\)

Hence, the maximized value of the function is (c) 119/2

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Answer:Elisa made the greater number of withdrawals

Step-by-step explanation:

208 divided by 26 is 8

245 divided by 49 is 5

Answer:

5

Step-by-step explanation:

divid lol

Answer:

$601250

Step-by-step explanation:

The answer will be t=-35Sin{\(\pi\)/6m)+55 average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year.

Temperature is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.

For the equation: 35cos(pi/6(m+3)+55)

Simplify it by multiplying pi/6 in the bracket values:  

\(=35 Cos (\dfrac{\pi m}{6}+\dfrac{3\pi }{6}+55)\)

\(=35 Cos(\dfrac{\pi m}{6}+55+\dfrac{\pi}{2})\)

Now suppose x = m.pi/6+55, while pi/2 = 90⁰

As per law cos(x+90⁰)=-sin(x)

so,cos((m.pi/6)+55+90⁰=-sin((m.pi/6)+55)

Hence answer will be

\(=-35Sin(\dfrac{\pi m}{6}+55)\)

The law cos(x+90⁰)=-sin(x) can be proved by putting y=90⁰ in the following formula,

cos(x+y)=cos(x).cos(y)-sin(x).sin(y)

Hence the answer will be t=-35Sin{\(\pi\)/6m)+55 average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year.

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Answer:

A

Step-by-step explanation:

t = negative 35 sine (StartFraction pi Over 6 EndFraction m) + 55

Answer:

The rate at which the biomass is increasing when t = 5 is 180.36 g/week

Step-by-step explanation:

Given that :

t = 5 weeks

Population N(t) = 824 guppies

Growth Rate \(\dfrac{dN(t)}{dt}= 50 \ guppies /week\)

average mass M(t) = 1.3 g

increase rate of biomass  \(\dfrac{dM (t)}{t}\)= 0.14 g/week

Therefore; the rate at which the biomass is increasing when t = 5 is:

\(\dfrac{dB(t)}{dt}= M(t) * \dfrac{dN(t)}{dt}+ N(t)* \dfrac{dM (t)}{t}\)

\(\dfrac{dB(t)}{dt}=1.3 * 50+ 824* 0.14\)

\(\dfrac{dB(t)}{dt}=65+115.36\)

\(\mathbf{\dfrac{dB(t)}{dt}=180.36 \ g/week}\)

The rate at which the biomass is increasing when t = 5 is 180.36 g/week

The rate at which the biomass is increasing when t = 5 is 180.36 g/week

Since time = 5 weeks, Population N(t) = 824 guppies, and growth rate = 50 guppies / week, average mass = 1.3g, and the increase rate of biomass is 0.14g/week

So,

\(= 1.3\times 50 + 824 \times 0.14\)

= 65 + 115.36

= 180.35 g/weel

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The evaluation form of polar integral  \(\int\limits^\pi _0 \int\limits^1 _0 r^{2} (rdr) d\theta\), and I is π/8.

Polar integral is defined as an  expression in which consists polar coordinates (r, θ).  The polar coordinates,  r is non-negative and different quadrants  changed the value of θ∈[0,2π]

Let us consider, \(I=\int\limits^1 _{-1} \int\limits^x_0 (x^{2}+y^{2}) dydx\),  

changing the Cartesian co-ordinates into polar coordinates,

           x = rcosθ and y = rsinθ

x² + y² =( rcosθ )² + ( rsinθ)² = r²cos²θ + r²sin²θ

=> x² + y² = r²( cos²θ + sin²θ) = r²

differentiating, dx dy = r drdθ

x = √(1 - y²) = √(1 -  r²sin²θ)

here, -1≤ x≤1and 0≤ y ≤ x

so, polar coordinates 0≤ r ≤ 1, 0≤θ≤π

\(I=\int\limits^1 _{0} \int\limits^{\sqrt{1-y^2}} _0 (x^{2}+y^{2}) dxdy =\int\limits^{\pi/2} _0 \int\limits^1 _0 r^{2} (rdr) d\theta\\I=\int\limits^{\pi/2} _0 \int\limits^1 _0 r^{3} dr d\theta\\I=\int\limits^{\pi/2} _0 [\frac{1^{4}}{4} - 0 ] d\theta\\I=\int\limits^{\pi/2} _0 \frac{1}{4} d\theta \\I= [\frac{\pi}{8}-0]\\I=\frac{\pi}{8}\)

Hence, the  value of polar integral is π/4.

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Complete question:

Change the cartesian integral into an equivalent polar integral. then evaluate the polar integral.

    \(\int\limits^1 _{-1} \int\limits^x_0 (x^{2}+y^{2}) dydx\)

Answer:

H. 8.874 hours

Step-by-step explanation:

There is a seven, that has the value of 7/100. 7/100 as a decimal is .07 because there is a 7 in the hundredths place. There has to be a number that contains 7/100, or a value in the hundredths place, and that is 8.874.

Hope this helps!

Answer:

c because it says it contains a 7 in the 7 hundredth place which means in 8.874 the hundredth place is where the seven is so the 7 should be in the place where the second 0 on a one hundred would be over the decimal if looked like 1.00 the last zero is the one hundredth place

also look at my new question in a minute I can screenshot my email and put it in a picture.

\(3.51+8.13=11.64=\frac{1164}{1000}=\frac{291}{250}\)

Since the sum can be expressed as the ratio of two positive integers, it is rational.

The correct choice is (A): It is possible. Since Cx- v is consistent for every v in R, according to the Invertible Matrix Theorem that makes the 6x6 matrix not invertible. Since it is not invertible, Cx - v does not have a unique solution.

Because there are infinitely many solutions to Cx = v, if the equation Cx- v is consistent for every v in R6, the matrix C has a nontrivial nullspace (the set of all solutions to the homogeneous equation Cx = 0). The Invertible Matrix Theorem states that a matrix is invertible if and only if its nullspace contains the zero vector. As a result, if C's nullspace is nontrivial, C is not invertible.

If C is not invertible, it has no unique inverse, and so Cx- v lacks a unique solution for some v in R6. As a result, for some v, the equation Cx- v may have more than one solution.

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A sufficient estimator is the distributions of exponential.The correct answer to this question is (c) exponential.

An estimator is a rule or procedure that is used to determine an estimate of a parameter based on observed data. A statistic is used to estimate a parameter, and it is computed from the observed data. An estimator is a random variable that computes a statistic from the data.

The following distributions have a sufficient estimator:

Poisson Distribution with parameters λ and x is a Poisson distribution.

The rate of the occurrence is λ.

Exponential Distribution with parameters λ and x is an exponential distribution.

The mean waiting time is 1/λ.

Bernoulli The Bernoulli distribution is not sufficient for an estimator, but the binomial distribution, which generalizes the Bernoulli distribution, is. In the context of the binomial distribution, p is a parameter Exponential

The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson process, such as the amount of time until the next vehicle arrives at a traffic intersection or the amount of time a particular component lasts in a manufacturing process.

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Answer:

1.5 in^3

Step-by-step explanation:

These are 6 cubes 1 side equals 1/4 so

(1/4*6) = 1.5 in^3

Answer:

3/32 OR .09375

Step-by-step explanation:

one cube equals:

V=width*length*height

V=(1/4)(1/4)(1/4)

V=1/64

we have 6 cubes and one volume of the cube is 1/64 so we mutilple

(1/64)(6)=3/32

65% is the probability that a randomly selected student is a senior or a student who drives to school.

First, let's calculate the probability of a student being a senior. We can do this by dividing the number of seniors by the total number of students:

Probability of being a senior = Number of seniors / Total number of students

Probability of being a senior = 25 / 100

Probability of being a senior = 0.25

Next, let's calculate the probability of a student driving to school. Again, we divide the number of students who drive by the total number of students:

Probability of driving to school = Number of students who drive / Total number of students

Probability of driving to school = (2 + 13 + 25) / 100

Probability of driving to school = 40 / 100

Probability of driving to school = 0.4

To find the probability of a student being a senior or driving to school (the union of these two events), we add their probabilities:

P(Senior U Drive to school) = P(Senior) + P(Drive to school)

P(Senior U Drive to school) = 0.25 + 0.4

P(Senior U Drive to school) = 0.65

Therefore, the probability that a randomly selected student is a senior or a student who drives to school is 0.65, or 65%.

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Answer:

105 pi m^2

Step-by-step explanation:

radius squared - radius squared =

(16+3)^2 - 16^2 =

19^2 - 16^2 =

361-256= 105

Answer:

3n + 6

Step-by-step explanation:

7.

three times a number: 3n

six more than three times a number: 3n + 6

After solving, the height in feet of the sixth bounce is 1.892 feet.

In the given question, we ave to find the height, in feet, of the sixth bounce.

From the given question,

Height on the first bounce = 6.7

Subsequent bounce reaches a height of the previous bounce = 81%

Suppose the height is h.

So according to the question:

h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6

h(6) = 6.7*(81%)^6

h(6) = 1.892 feet

So the height of sixth bounce is 1.892 feet.

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